

A098378


Number of characters needed to write number n in the traditional Ethiopic (Geez) number system.


1



1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2
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OFFSET

1,11


COMMENTS

These characters are visible with Mozilla 6 and IE 6, using the "TITUS Cyberbit Basic" font. Zooming in helps to differentiate the characters from each other.
The Ethiopic number system uses the following characters:
፩=1 ፪=2 ፫=3 ፬=4 ፭=5 ፮=6 ፯=7 ፰=8 ፱=9
፲=10 ፳=20 ፴=30 ፵=40 ፶=50 ፷=60 ፸=70 ፹=80 ፺=90
፻=100 ፼=10000
A number is denoted by a sequence of powers of 100, each preceded by a coefficient (2 through 99). In each term of the series, the power 100^n is indicated by n ፻ characters (merged to a digraph ፼ when n=2). The coefficient is indicated by a tens digit and a ones digit, either of which is absent if its value is zero.


REFERENCES

G. Haile, Ethiopic Writing, in The World's Writing Systems, edited by Peter T. Daniels & William Bright, Oxford Univ. Press, 1996. p. 574.


LINKS

Table of n, a(n) for n=1..104.
TITUS Cyberbit Basic font
Unicode Consortium, Unicode Standard Version 4.0, Chapter 12, Additional Modern Scripts, Ethiopic
Unicode Consortium, Unicode Home Page (Follow the link "Display Problems?" to find an appropriate information/font file to show the Ethiopic characters correctly).


EXAMPLE

E.g. the number 2345 is represented as (20+3)*100 + (40+5) = 20 3 100 40 5 = ፳፫፻፵፭, thus a(2345)=5. Also a(999)=4 (፱፻፺፱), a(1000)=2 (፲፻), a(9999)=5 (፺፱፻፺፱), a(10000)=1 (፼), a(1000000)=3 (፻፻፻).


CROSSREFS

Differs from A055640 first time at position n=200 (፪ ፻ ) with a(200)=2, while A055640(200)=1, as only one nonzero arabic digit (and only one Greek letter) is needed for two hundred.
Sequence in context: A174835 A231072 A055640 * A160093 A259143 A035931
Adjacent sequences: A098375 A098376 A098377 * A098379 A098380 A098381


KEYWORD

nonn,base,easy


AUTHOR

Antti Karttunen, Sep 05 2004.


STATUS

approved



